# Dakota Mixes two cereals for breakfast. one gram of cereal A has 6 grams of sodium and 7 calories. one gram of cereal B has 8

Dakota Mixes two cereals for breakfast. one gram of cereal A has 6 grams of sodium and 7 calories. one gram of cereal B has 8 milligrams of sodium and 5 calories. She want a bowl of cereal that contains no more than 200 milligrams of sodium and 150 calories. let A equal number of grams of cereal of A and B equal the number of grams of cereal B where A>0 and B>0 which system of inequality represent the possible way Dakota can mix the cereal ?

## This Post Has 3 Comments

1. Yasido888 says:

Let's assume

x be the number of loads by land carriers

y be the number of loads by air carriers

so, maximum number of loads can be 150

total number of loads =(the number of loads by land carriers)+(the number of loads by air carriers)

so, we get

$x+y\leq 150$

the mail is sent via ground in air each land carrier takes 2000 pieces per load

so, total number of pieces by land =2000x

each air carrier takes 1500 pieces per load the

so, total number of pieces by air =1500y

total number of pieces = (total number of pieces by land)+(total number of pieces by air)

now, we can plug values

total number of pieces =2000x+1500y

A mail distribution center processes as many as 175000 pieces of mail each day

so, we get

$2000x+1500y\leq 175000$

so, we get system of inequality as

$x+y\leq 150$

$2000x+1500y\leq 175000$................Answer

2. 21villalobosjabez says: